Asymptotic symmetries and subleading soft graviton theorem

By Miguel Campiglia, Alok Laddha. 2014

364 citations recorded by the source corpus.

Motivated by the equivalence between the soft graviton theorem and Ward identities for the supertranslation symmetries belonging to the Bondi, van der Burg, Metzner and Sachs (BMS) group, we propose a new extension (different from the so-called extended BMS) of the BMS group that is a semidirect product of supertranslations and $\text{Diff}({S}^{2})$. We propose a definition for the canonical generators associated with the smooth diffeomorphisms and show that the resulting Ward identities are equivalent to the subleading soft graviton theorem of Cachazo and Strominger.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7f50b7e6cb242f83a93bf03b2c0c6574ca8dbbcb

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Citations in the corpus

Asymptotic symmetries of gravity and soft theorems for massive particles (2015, methodology): “(63) and (68) of [7] that cancelled each other.”
New symmetries for the gravitational S-matrix (2015, methodology): “2 Definition of G As described in [15], from a spacetime perspective G can be characterized as the group of diffeomorphisms generated by (non-trivial at null infinity) vector fields ξ preserving the form of the metric (2.”
Classical and quantum results on logarithmic terms in the soft theorem in four dimensions (2018, background): “Soft theorems [1–12] have been analyzed recently from different perspectives, both using asymptotic symmetries [13–36] and also by direct analysis of amplitudes in field theory and string theory [37–87].”
Flat holography: aspects of the dual field theory (2016, background): “In [58], the same set of authors concluded that the Virasoro central terms were (2)This section was worked out in collaboration with Anandita De (3)Here it is of interest to mention that the BMS4 group has also been recently extended differently to include all smooth vector fields on S(2) instead of”
Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem (2015, background): “Further investigations along these lines have established a robust and detailed correspondence between soft theorems for gauge theory/gravity scattering amplitudes and Ward identities for extended asymptotic symmetry groups [7, 8, 10–22].”
Superboost transitions, refraction memory and super-Lorentz charge algebra (2018, methodology): “the literature. It shows that the Ward identities of supertranslations and super-Lorentz transformations are equivalent to the leading and subleading soft graviton theorems following the arguments of [3,18]. 5.7 Charges of the vacua Using the values (3.26) in our prescription (5.49) we deduce the ma”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, methodology): “Indeed, motivated by this observation, a new subleading soft theorem was proven diagrammatically [56, 63–65] and shown [57, 66] to be equivalent to the superrotation charge conservation equation (5.”